RUNGE–KUTTA METHODS FOR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0218202505000716zbMath1079.65079OpenAlexW2081611094MaRDI QIDQ5700340

Stefano Maset, Lucio Torelli, Rossana Vermiglio

Publication date: 28 October 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202505000716

zbMATH Keywords

initial value problemsorder conditionscontinuous Runge-Kutta methodsretarded functional differential equations

Mathematics Subject Classification ID

Related Items (10)

Fourth-Order Method for Differential Equations with Discrete and Distributed Delays ⋮ Stage-based interpolation Runge-Kutta methods for nonlinear Volterra functional differential equations ⋮ Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Normal and pathological dynamics of platelets in humans ⋮ On the mathematical modelling of complex dynamical systems of an electrically operated vehicle ⋮ Numerical methods for delay models in biomathematics ⋮ Order conditions for Volterra Runge-Kutta methods ⋮ Functional continuous Runge-Kutta methods with reuse ⋮ Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays ⋮ Recent trends in the numerical solution of retarded functional differential equations

Cites Work

• For Every ɛ There Continuously Exists a δ
• Linear multistep methods for the numerical solution of volterra functional differential equations^†
• A New Theoretical Approach to Runge–Kutta Methods
• Numerical Methods for Delay Differential Equations
• One-Step Methods for the Numerical Solution of Volterra Functional Differential Equations
• The Numerical Solution of Volterra Functional Differential Equations by Euler’s Method
• General linear methods for the numerical solution of functional-differential equations

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